Answer:
Given Right Δ DEF,
It is not given that whether ∠D=∠F =90°
As looking at the options provided , Either Base and altitude =3 or 4 and
Hypotenuse =5,
Case 1. When ∠D=90°
In Δ E D F
Sin (E) = [tex]\frac{Altitude}{Hypotenuse}[/tex]
= 3/5 OR 4/5 [ if base=3, then altitude =4 and if Base =4, Altitude=3]
Case 2. When ∠F=90°, In ΔEFD
Sin (E) = [tex]\frac{Altitude}{Hypotenuse}[/tex]
= 3/5 or 4/5 [Depending on whether Base =3 then altitude =4, OR Altitude =3 , then Base =4]
So looking at all the options 3/5 and 4/5 are correct answers.
But it is given that answer is 3/5 , so whether you take ∠D or ∠F as 90° take Altitude=3 and Hypotenuse =5 and base =4.
